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Finding the Fourth Proportional to 563,770.54, 845,780.20 and 164,442.57

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Solution

The fourth proportional to 563,770.54, 845,780.20 and 164,442.57 is: 246,700.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,770.54 : 845,780.20 = 164,442.57 : x
  2. Step 2: Convert to fraction form
    563,770.54/845,780.20 = 164,442.57/x
  3. Step 3: Cross multiply
    563,770.54x = 845,780.20 × 164,442.57
  4. Step 4: Simplify right side
    563,770.54x = 139,082,266,160.33
  5. Step 5: Solve for x
    x = 139,082,266,160.33/563,770.54
  6. Step 6: Final answer
    x = 246,700.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.